dr Evaluate the integral: 2² (A) Which trig substitution is correct for this integral? Or=2 sin(0) Or=2 sec (0) Or=2 tan(0) Oz = 4 sin(0) = 4 sec(0) Or = 4 tan(0) (B) Determine the sides of the triangle: (1= A B C II || 0 с A B (C) Which integral do you obtain after substituting for ? Simplify as much as possible. Note: to enter 8, type the word theta. de (D) What is the value of the above integral in terms of ? (Don't forget the + C.) (E) What is the value of the original integral in terms of z? (Don't forget the +C.)
dr Evaluate the integral: 2² (A) Which trig substitution is correct for this integral? Or=2 sin(0) Or=2 sec (0) Or=2 tan(0) Oz = 4 sin(0) = 4 sec(0) Or = 4 tan(0) (B) Determine the sides of the triangle: (1= A B C II || 0 с A B (C) Which integral do you obtain after substituting for ? Simplify as much as possible. Note: to enter 8, type the word theta. de (D) What is the value of the above integral in terms of ? (Don't forget the + C.) (E) What is the value of the original integral in terms of z? (Don't forget the +C.)
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:Evaluate the integral:
Ox=2 tan(0)
x = 4 sin(0)
O x = 4 sec(0)
(A) Which trig substitution is correct for this integral?
Or=2 sin (0)
x = 2 sec (0)
Or=
A
= 4 tan(0)
(B) Determine the sides of the triangle:
B
||
||
=
1
I√4+x²
C =
0
da
с
A
B
(C) Which integral do you obtain after substituting for? Simplify as much as possible.
Note: to enter , type the word theta.
S
(D) What is the value of the above integral in terms of ? (Don't forget the +C.)
do
(E) What is the value of the original integral in terms of ? (Don't forget the +C.)
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For answer in part "E", is the answer 1/2 ln| sqrt(x^2+4/x^2) - 2/x |+C or 1/2 ln| sqrt(x^2+4) / x^2 - 2/x| + C? Are we just square rooting (x^2+4) and dividing it by x^2 or are we sqaure rooting the whole ((x^2+4)/x^2)
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